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     },
     "execution_count": 1,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "using POMDPModels\n",
    "using POMDPToolbox # for VectorPolicy\n",
    "gw = GridWorld()\n",
    "plot(gw)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": false,
    "scrolled": true
   },
   "outputs": [
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    "plot(gw, GridWorldState(2,1))"
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   "execution_count": 3,
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      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "s = GridWorldState(2,1)\n",
    "up = GridWorldAction(:up)\n",
    "rng = MersenneTwister(123)\n",
    "for i in 1:10\n",
    "    s = generate_s(gw, s, up, rng)\n",
    "end\n",
    "plot(gw, s)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": false,
    "scrolled": true
   },
   "outputs": [],
   "source": [
    "policy = VectorPolicy(gw, fill(GridWorldAction(:left), n_states(gw)))\n",
    "plot(gw, policy)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
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(6.5, 3.55) -- (6.0, 3.5) -- cycle;\\n\\\\node[above right] at (6.0, 3.0) {\\$0.00\\$};\\n\\\\fill (7.5, 3.45) -- (7.5, 3.55) -- (7.0, 3.5) -- cycle;\\n\\\\node[above right] at (7.0, 3.0) {\\$0.00\\$};\\n\\\\fill (8.5, 3.45) -- (8.5, 3.55) -- (8.0, 3.5) -- cycle;\\n\\\\node[above right] at (8.0, 3.0) {\\$0.00\\$};\\n\\\\fill (9.5, 3.45) -- (9.5, 3.55) -- (9.0, 3.5) -- cycle;\\n\\\\node[above right] at (9.0, 3.0) {\\$0.00\\$};\\n\\\\fill (0.5, 4.45) -- (0.5, 4.55) -- (0.0, 4.5) -- cycle;\\n\\\\node[above right] at (0.0, 4.0) {\\$0.00\\$};\\n\\\\fill (1.5, 4.45) -- (1.5, 4.55) -- (1.0, 4.5) -- cycle;\\n\\\\node[above right] at (1.0, 4.0) {\\$0.00\\$};\\n\\\\fill (2.5, 4.45) -- (2.5, 4.55) -- (2.0, 4.5) -- cycle;\\n\\\\node[above right] at (2.0, 4.0) {\\$0.00\\$};\\n\\\\fill (3.5, 4.45) -- (3.5, 4.55) -- (3.0, 4.5) -- cycle;\\n\\\\node[above right] at (3.0, 4.0) {\\$0.00\\$};\\n\\\\fill (4.5, 4.45) -- (4.5, 4.55) -- (4.0, 4.5) -- cycle;\\n\\\\node[above right] at (4.0, 4.0) {\\$0.00\\$};\\n\\\\fill (5.5, 4.45) -- (5.5, 4.55) -- (5.0, 4.5) -- cycle;\\n\\\\node[above right] at (5.0, 4.0) {\\$0.00\\$};\\n\\\\fill (6.5, 4.45) -- (6.5, 4.55) -- (6.0, 4.5) -- cycle;\\n\\\\node[above right] at (6.0, 4.0) {\\$0.00\\$};\\n\\\\fill (7.5, 4.45) -- (7.5, 4.55) -- (7.0, 4.5) -- cycle;\\n\\\\node[above right] at (7.0, 4.0) {\\$0.00\\$};\\n\\\\fill (8.5, 4.45) -- (8.5, 4.55) -- (8.0, 4.5) -- cycle;\\n\\\\node[above right] at (8.0, 4.0) {\\$0.00\\$};\\n\\\\fill (9.5, 4.45) -- (9.5, 4.55) -- (9.0, 4.5) -- cycle;\\n\\\\node[above right] at (9.0, 4.0) {\\$0.00\\$};\\n\\\\fill (0.5, 5.45) -- (0.5, 5.55) -- (0.0, 5.5) -- cycle;\\n\\\\node[above right] at (0.0, 5.0) {\\$0.00\\$};\\n\\\\fill (1.5, 5.45) -- (1.5, 5.55) -- (1.0, 5.5) -- cycle;\\n\\\\node[above right] at (1.0, 5.0) {\\$0.00\\$};\\n\\\\fill (2.5, 5.45) -- (2.5, 5.55) -- (2.0, 5.5) -- cycle;\\n\\\\node[above right] at (2.0, 5.0) {\\$0.00\\$};\\n\\\\fill (3.5, 5.45) -- (3.5, 5.55) -- (3.0, 5.5) -- cycle;\\n\\\\node[above right] at (3.0, 5.0) {\\$-5.00\\$};\\n\\\\fill (4.5, 5.45) -- (4.5, 5.55) -- (4.0, 5.5) -- cycle;\\n\\\\node[above right] at (4.0, 5.0) {\\$0.00\\$};\\n\\\\fill (5.5, 5.45) -- (5.5, 5.55) -- (5.0, 5.5) -- cycle;\\n\\\\node[above right] at (5.0, 5.0) {\\$0.00\\$};\\n\\\\fill (6.5, 5.45) -- (6.5, 5.55) -- (6.0, 5.5) -- cycle;\\n\\\\node[above right] at (6.0, 5.0) {\\$0.00\\$};\\n\\\\fill (7.5, 5.45) -- (7.5, 5.55) -- (7.0, 5.5) -- cycle;\\n\\\\node[above right] at (7.0, 5.0) {\\$0.00\\$};\\n\\\\fill (8.5, 5.45) -- (8.5, 5.55) -- (8.0, 5.5) -- cycle;\\n\\\\node[above right] at (8.0, 5.0) {\\$0.00\\$};\\n\\\\fill (9.5, 5.45) -- (9.5, 5.55) -- (9.0, 5.5) -- cycle;\\n\\\\node[above right] at (9.0, 5.0) {\\$0.00\\$};\\n\\\\fill (0.5, 6.45) -- (0.5, 6.55) -- (0.0, 6.5) -- cycle;\\n\\\\node[above right] at (0.0, 6.0) {\\$0.00\\$};\\n\\\\fill (1.5, 6.45) -- (1.5, 6.55) -- (1.0, 6.5) -- cycle;\\n\\\\node[above right] at (1.0, 6.0) {\\$0.00\\$};\\n\\\\fill (2.5, 6.45) -- (2.5, 6.55) -- (2.0, 6.5) -- cycle;\\n\\\\node[above right] at (2.0, 6.0) {\\$0.00\\$};\\n\\\\fill (3.5, 6.45) -- (3.5, 6.55) -- (3.0, 6.5) -- cycle;\\n\\\\node[above right] at (3.0, 6.0) {\\$0.00\\$};\\n\\\\fill (4.5, 6.45) -- (4.5, 6.55) -- (4.0, 6.5) -- cycle;\\n\\\\node[above right] at (4.0, 6.0) {\\$0.00\\$};\\n\\\\fill (5.5, 6.45) -- (5.5, 6.55) -- (5.0, 6.5) -- cycle;\\n\\\\node[above right] at (5.0, 6.0) {\\$0.00\\$};\\n\\\\fill (6.5, 6.45) -- (6.5, 6.55) -- (6.0, 6.5) -- cycle;\\n\\\\node[above right] at (6.0, 6.0) {\\$0.00\\$};\\n\\\\fill (7.5, 6.45) -- (7.5, 6.55) -- (7.0, 6.5) -- cycle;\\n\\\\node[above right] at (7.0, 6.0) {\\$0.00\\$};\\n\\\\fill (8.5, 6.45) -- (8.5, 6.55) -- (8.0, 6.5) -- cycle;\\n\\\\node[above right] at (8.0, 6.0) {\\$0.00\\$};\\n\\\\fill (9.5, 6.45) -- (9.5, 6.55) -- (9.0, 6.5) -- cycle;\\n\\\\node[above right] at (9.0, 6.0) {\\$0.00\\$};\\n\\\\fill (0.5, 7.45) -- (0.5, 7.55) -- (0.0, 7.5) -- cycle;\\n\\\\node[above right] at (0.0, 7.0) {\\$0.00\\$};\\n\\\\fill (1.5, 7.45) -- (1.5, 7.55) -- (1.0, 7.5) -- cycle;\\n\\\\node[above right] at (1.0, 7.0) {\\$0.00\\$};\\n\\\\fill (2.5, 7.45) -- (2.5, 7.55) -- (2.0, 7.5) -- cycle;\\n\\\\node[above right] at (2.0, 7.0) {\\$0.00\\$};\\n\\\\fill (3.5, 7.45) -- (3.5, 7.55) -- (3.0, 7.5) -- cycle;\\n\\\\node[above right] at (3.0, 7.0) {\\$0.00\\$};\\n\\\\fill (4.5, 7.45) -- (4.5, 7.55) -- (4.0, 7.5) -- cycle;\\n\\\\node[above right] at (4.0, 7.0) {\\$0.00\\$};\\n\\\\fill (5.5, 7.45) -- (5.5, 7.55) -- (5.0, 7.5) -- cycle;\\n\\\\node[above right] at (5.0, 7.0) {\\$0.00\\$};\\n\\\\fill (6.5, 7.45) -- (6.5, 7.55) -- (6.0, 7.5) -- cycle;\\n\\\\node[above right] at (6.0, 7.0) {\\$0.00\\$};\\n\\\\fill (7.5, 7.45) -- (7.5, 7.55) -- (7.0, 7.5) -- cycle;\\n\\\\node[above right] at (7.0, 7.0) {\\$3.00\\$};\\n\\\\fill (8.5, 7.45) -- (8.5, 7.55) -- (8.0, 7.5) -- cycle;\\n\\\\node[above right] at (8.0, 7.0) {\\$0.00\\$};\\n\\\\fill (9.5, 7.45) -- (9.5, 7.55) -- (9.0, 7.5) -- cycle;\\n\\\\node[above right] at (9.0, 7.0) {\\$0.00\\$};\\n\\\\fill (0.5, 8.45) -- (0.5, 8.55) -- (0.0, 8.5) -- cycle;\\n\\\\node[above right] at (0.0, 8.0) {\\$0.00\\$};\\n\\\\fill (1.5, 8.45) -- (1.5, 8.55) -- (1.0, 8.5) -- cycle;\\n\\\\node[above right] at (1.0, 8.0) {\\$0.00\\$};\\n\\\\fill (2.5, 8.45) -- (2.5, 8.55) -- (2.0, 8.5) -- cycle;\\n\\\\node[above right] at (2.0, 8.0) {\\$0.00\\$};\\n\\\\fill (3.5, 8.45) -- (3.5, 8.55) -- (3.0, 8.5) -- cycle;\\n\\\\node[above right] at (3.0, 8.0) {\\$0.00\\$};\\n\\\\fill (4.5, 8.45) -- (4.5, 8.55) -- (4.0, 8.5) -- cycle;\\n\\\\node[above right] at (4.0, 8.0) {\\$0.00\\$};\\n\\\\fill (5.5, 8.45) -- (5.5, 8.55) -- (5.0, 8.5) -- cycle;\\n\\\\node[above right] at (5.0, 8.0) {\\$0.00\\$};\\n\\\\fill (6.5, 8.45) -- (6.5, 8.55) -- (6.0, 8.5) -- cycle;\\n\\\\node[above right] at (6.0, 8.0) {\\$0.00\\$};\\n\\\\fill (7.5, 8.45) -- (7.5, 8.55) -- (7.0, 8.5) -- cycle;\\n\\\\node[above right] at (7.0, 8.0) {\\$0.00\\$};\\n\\\\fill (8.5, 8.45) -- (8.5, 8.55) -- (8.0, 8.5) -- cycle;\\n\\\\node[above right] at (8.0, 8.0) {\\$0.00\\$};\\n\\\\fill (9.5, 8.45) -- (9.5, 8.55) -- (9.0, 8.5) -- cycle;\\n\\\\node[above right] at (9.0, 8.0) {\\$0.00\\$};\\n\\\\fill (0.5, 9.45) -- (0.5, 9.55) -- (0.0, 9.5) -- cycle;\\n\\\\node[above right] at (0.0, 9.0) {\\$0.00\\$};\\n\\\\fill (1.5, 9.45) -- (1.5, 9.55) -- (1.0, 9.5) -- cycle;\\n\\\\node[above right] at (1.0, 9.0) {\\$0.00\\$};\\n\\\\fill (2.5, 9.45) -- (2.5, 9.55) -- (2.0, 9.5) -- cycle;\\n\\\\node[above right] at (2.0, 9.0) {\\$0.00\\$};\\n\\\\fill (3.5, 9.45) -- (3.5, 9.55) -- (3.0, 9.5) -- cycle;\\n\\\\node[above right] at (3.0, 9.0) {\\$0.00\\$};\\n\\\\fill (4.5, 9.45) -- (4.5, 9.55) -- (4.0, 9.5) -- cycle;\\n\\\\node[above right] at (4.0, 9.0) {\\$0.00\\$};\\n\\\\fill (5.5, 9.45) -- (5.5, 9.55) -- (5.0, 9.5) -- cycle;\\n\\\\node[above right] at (5.0, 9.0) {\\$0.00\\$};\\n\\\\fill (6.5, 9.45) -- (6.5, 9.55) -- (6.0, 9.5) -- cycle;\\n\\\\node[above right] at (6.0, 9.0) {\\$0.00\\$};\\n\\\\fill (7.5, 9.45) -- (7.5, 9.55) -- (7.0, 9.5) -- cycle;\\n\\\\node[above right] at (7.0, 9.0) {\\$0.00\\$};\\n\\\\fill (8.5, 9.45) -- (8.5, 9.55) -- (8.0, 9.5) -- cycle;\\n\\\\node[above right] at (8.0, 9.0) {\\$0.00\\$};\\n\\\\fill (9.5, 9.45) -- (9.5, 9.55) -- (9.0, 9.5) -- cycle;\\n\\\\node[above right] at (9.0, 9.0) {\\$0.00\\$};\\n\\\\end{scope}\\n\\\\draw[black] grid(10,10);\\n\",\"scale=1.25\",\"\",true,true)"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "plot(gw, s->static_reward(gw, s), policy, GridWorldState(4,4))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  }
 ],
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   "language": "julia",
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  "language_info": {
   "file_extension": ".jl",
   "mimetype": "application/julia",
   "name": "julia",
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